85.1k views
1 vote
What are the factors of the expression below -2x^2+5-3

A -1(2x-3)(x-1)

B -1(2x+3)(x-1)

C -1(2x+3)(x+1)

D -1(2x-3)(x+1)

User Tuan Phan
by
8.3k points

2 Answers

3 votes

Answer:

A

Explanation:

Given

- 2x² + 5x - 3 ← factor out - 1 from each term

= - 1(2x² - 5x + 3) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 3 = 6 and sum = - 5

The factors are - 2 and - 3

Use these factors to split the x- term

2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )

2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term

(2x - 3)(x - 1)

Then

- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A

User PhilD
by
7.8k points
3 votes
d got it right hope you do
User Hotschke
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories